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A syllogism (Ancient Greek: συλλογισμός, syllogismos, 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true.
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The argument is also in the First Figure (the middle term is the subject of the first premise and the predicate of the second premise), and therefore would be found in the first portion of the full mnemonic poem as formulated by William of Sherwood; later this syllogism came to be considered one of the Fourth Figure. Generally stated: All M is P
The premise in a syllogism that includes the minor term, which is the subject of the conclusion. minor term The term that appears as the subject in the conclusion of a syllogism. modal actualism The philosophical position that only actual, existing objects are possible, denying the existence of merely possible objects. modal agnosticism
An epicheireme (/ ɛ p i ˈ k aɪ r i m / e-pee-KEYE-reem) [a] is a compound syllogism in which at least one of the premises is stated along with a justification for itself. [1] [2] Epicheirema are abridged polysyllogisms. [3] Like the enthymeme, epicheirema are often used in everyday speech. [citation needed]
Diagram of a Baroco syllogism. In Aristotelian logic, baroco is a mnemonic word used to memorize a syllogism. Specifically, it has the first proposition universal and affirmative, but the second and third particular and negative, and the middle term the attribute in the two first. For example, Every virtue is attended with discretion.
The mental model theory of reasoning was developed by Philip Johnson-Laird and Ruth M.J. Byrne (Johnson-Laird and Byrne, 1991). It has been applied to the main domains of deductive inference including relational inferences such as spatial and temporal deductions; propositional inferences, such as conditional, disjunctive and negation deductions; quantified inferences such as syllogisms; and ...
Depending on the position of the middle term, Aristotle divides the syllogism into three kinds: syllogism in the first, second, and third figure. [14] If the Middle Term is subject of one premise and predicate of the other, the premises are in the First Figure. If the Middle Term is predicate of both premises, the premises are in the Second Figure.
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